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Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

Collective actuation in active solids - the spontaneous coherent excitation of a few vibrational modes - emerges from a feedback between structural deformations and the orientation of active forces. It is an excellent candidate as a basic…

Soft Condensed Matter · Physics 2025-11-21 Paul Baconnier , Mathéo Aksil , Vincent Démery , Olivier Dauchot

We present a large-scale numerical study, supplemented by experimental observations, of a quasi-two-dimensional active system of polar rods and spherical beads confined between two horizontal plates and energised by vertical vibration. For…

Soft Condensed Matter · Physics 2020-01-03 Harsh Soni , Nitin Kumar , Jyothishraj Nambisan , Rahul Kumar Gupta , A. K. Sood , Sriram Ramaswamy

Interactions in active matter systems inherently involve delays due to information processing and actuation lags. We numerically investigate the impact of such delays on the phase behavior of the Vicsek model for motile active matter at a…

Soft Condensed Matter · Physics 2025-08-08 Robert Horton , Viktor Holubec

We consider a Vicsek model of self-propelled particles with bounded confidence, where each particle interacts only with neighbors that have a similar direction. Depending on parameters, the system exhibits a continuous or discontinuous…

Statistical Mechanics · Physics 2017-05-22 Rüdiger Kürsten , Thomas Ihle

The correlated motion of flocks is an instance of global order emerging from local interactions. An essential difference with analogous ferromagnetic systems is that flocks are active: animals move relative to each other, dynamically…

The Vicsek model (Vicsek et al. 1995) is a very popular minimalist model to study active matter with a number of applications to biological systems at different length scales. With its off-lattice implementation and periodic boundary…

Statistical Mechanics · Physics 2022-03-07 Andreas Kuhn , Sabine C. Fischer

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

Statistical Mechanics · Physics 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both associated with the opening and the…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Gustavo Düring , Matthieu Wyart

We study a model of self-propelled particles interacting with their $k$ nearest neighbors through polar alignment. By exploring its phase space as a function of two nondimensional parameters (alignment strength $g$ and Peclet number…

Soft Condensed Matter · Physics 2022-08-16 Yinong Zhao , Cristian Huepe , Pawel Romanczuk

We report on a novel type of instability observed in a noisy oscillator unidirectionally coupled to a pacemaker. Using a phase oscillator model, we find that, as the coupling strength is increased, the noisy oscillator lags behind the…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Yasuaki Kobayashi , Hiroshi Kori

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

We examine a non-reciprocally coupled dynamical model of a mixture of two diffusing species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic cross diffusivities, provides a generic mechanism for the…

Soft Condensed Matter · Physics 2020-08-21 Zhihong You , Aparna Baskaran , M. Cristina Marchetti

We study clustering and percolation phenomena in the Vicsek model, taken here in its capacity of prototypical model for dry aligning active matter. Our results show that the order-disorder transition is not related in any way to a…

Soft Condensed Matter · Physics 2019-09-04 Nikos Kyriakopoulos , Hugues Chaté , Francesco Ginelli

Effect of internal chirality on collective motion of a large number of active objects is studied by simulations of appropriately modified Vicsek model. We add a fixed angle to the noise and consider small ratios, $p$, between this angle and…

Soft Condensed Matter · Physics 2026-03-31 W. T. Gozdz , A. Ciach

One of the most well known features of active matter is the tendencey of self-propelled particles to undergo system-wide collective motion. With low enough rotational noise or high enough global density, these systems spontaneously break…

Soft Condensed Matter · Physics 2024-06-21 Caleb J. Anderson Olivier Dauchot , Alberto Fernandez-Nieves

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-propelled particles. In this article, we study the influence…

Mathematical Physics · Physics 2013-01-18 Amic Frouvelle

We study coarse-grained density fluctuations in the disordered phase of the paradigmatic Vicsek-like models of self-propelled particles with alignment interactions and random self-propulsion velocities. By numerically integrating a…

Statistical Mechanics · Physics 2019-05-20 Subhadip Chakraborti , Punyabrata Pradhan

We consider a model in which positive and negative particles with equal densities diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent…

Statistical Mechanics · Physics 2015-06-25 Peter F. Arndt , Thomas Heinzel , Vladimir Rittenberg
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